Home
Class 11
MATHS
Let ABC be triangle with angle=45^(@). L...

Let ABC be triangle with `angle=45^(@)`. Let P the point on sude BC with PB=3 and PC=5, if O is circumcentre of triangle ABC, then length OP is

A

`sqrt(18)`

B

`sqrt(17)`

C

`sqrt(19)`

D

`sqrt(15)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (Matrix Matching Type Questions)|9 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (PRACTICE SHEET (ADVANCED) Straight Objective Type Questions)|10 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL 1 (MAIN)) (Straight Objective Type Questions)|59 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC let angle C=pi//2 . If r is the inradius and R is the circumradius of the the triangle ABC, then 2(r+R)=

If D is the mid-point of the side BC of triangle ABC and AD is perpendicular to AC, then

If A(2,3) B(5,6) C(1,2) are the points of triangle ABC then perimenter of triangle ABC .

Let ABC be an isosceles triangle with BC as its base. Then, rr_(1)=

Let ABC be an isosceles triangle with base BC. If 'r' is the radius of the circle inscribed in triangle ABC and r_(1) is the radius of the circle escribed opposite to the angle A, then the product r_(1)r can be equal to

Let ABC be a triangle. If P is a point such that AP divides BC in the ratio 2:3 , BP divides CA in the ratio 3:5 then the ratio in which CP divides AB is

AAKASH SERIES-PROPERTIES OF TRIANGLES-ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (More than one correct answer Type Questions)
  1. In a triangle ABC, the altitude from A is not less than BC and the alt...

    Text Solution

    |

  2. If in DeltABC sides a,b,c are in A.P then

    Text Solution

    |

  3. If in DeltaABC, AC is double AB, then value of "cot"(A)/(2)"cot"(B-C)/...

    Text Solution

    |

  4. If one side of a triangle is double the other, and the angles on oppos...

    Text Solution

    |

  5. With usual notations, in triangle ABC, a cos (B-C)+b cos (C-A)+c cos(...

    Text Solution

    |

  6. Let ABC be triangle with angle=45^(@). Let P the point on sude BC with...

    Text Solution

    |

  7. In any triangleABC,(a^(2)+b^(2)+c^(2))/(R^(2)) has the maximum value o...

    Text Solution

    |

  8. In a triangle ABC, R(b+c)= a sqrt(bc) where R is the circum radius of ...

    Text Solution

    |

  9. In a DeltaABC,(a+b+c)(b+c-a)=lambdabc, then

    Text Solution

    |

  10. In DeltaABC, A=(2pi)/(3),b-c=3 sqrt(3) cm and area of DeltaABC=(9 sqrt...

    Text Solution

    |

  11. In a DeltaABC, if AB,x=Bc= x+1, anglec=(pi)/(3), then the least intege...

    Text Solution

    |

  12. If area of DeltaABC(Delta) and angle C are given and if the side c opp...

    Text Solution

    |

  13. If Delta represents the area of acute angled triangle ABC, then sqrt(...

    Text Solution

    |

  14. Lengths of the tangents from A, B, and C to the incircle are in A.P., ...

    Text Solution

    |

  15. A circle of radius 4 cm is inscribed in AABC, which touches the side B...

    Text Solution

    |

  16. If H is the orthocentre of triangle ABC, R = circumradius and P=AH+BH+...

    Text Solution

    |

  17. If inside a big circle exactly n(n ge3) small circles, each of radius ...

    Text Solution

    |

  18. Let ABC be a triangle with incentre at I. Also, let P and Q be the fee...

    Text Solution

    |

  19. In DeltaABC , D, E and F are the mid points of the sides, then DeltaDE...

    Text Solution

    |